n-2-8=5n-1-3n-12

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Solution for n-2-8=5n-1-3n-12 equation:


Simplifying
n + -2 + -8 = 5n + -1 + -3n + -12

Reorder the terms:
-2 + -8 + n = 5n + -1 + -3n + -12

Combine like terms: -2 + -8 = -10
-10 + n = 5n + -1 + -3n + -12

Reorder the terms:
-10 + n = -1 + -12 + 5n + -3n

Combine like terms: -1 + -12 = -13
-10 + n = -13 + 5n + -3n

Combine like terms: 5n + -3n = 2n
-10 + n = -13 + 2n

Solving
-10 + n = -13 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-10 + n + -2n = -13 + 2n + -2n

Combine like terms: n + -2n = -1n
-10 + -1n = -13 + 2n + -2n

Combine like terms: 2n + -2n = 0
-10 + -1n = -13 + 0
-10 + -1n = -13

Add '10' to each side of the equation.
-10 + 10 + -1n = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -1n = -13 + 10
-1n = -13 + 10

Combine like terms: -13 + 10 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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